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Finding the Fourth Proportional to 56,025, 84,051.90 and 19,089

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Solution

The fourth proportional to 56,025, 84,051.90 and 19,089 is: 28,638.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,025 : 84,051.90 = 19,089 : x
  2. Step 2: Convert to fraction form
    56,025/84,051.90 = 19,089/x
  3. Step 3: Cross multiply
    56,025x = 84,051.90 × 19,089
  4. Step 4: Simplify right side
    56,025x = 1,604,466,719.10
  5. Step 5: Solve for x
    x = 1,604,466,719.10/56,025
  6. Step 6: Final answer
    x = 28,638.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.